© 2007

Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups


  • Presents in a systematic way recent results on the asymptotic behaviour of operator semigroups and related topics, especially concerning positive semigroups in classical and non-commutative L1-spaces

  • Contains many open problems


Part of the Operator Theory: Advances and Applications book series (OT, volume 173)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Back Matter
    Pages 159-174

About this book


In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.

The book is directed to graduate students and researchers working in operator theory, particularly those interested in C0-semigroups in classical and non-commutative L1-spaces, in mean ergodic theory, and in dynamical systems.


Lattice asymptotic analysis calculus operator theory semigroups

Authors and affiliations

  1. 1.Department of MathematicsMiddle East Technial UniversityAnkaraTurkey

Bibliographic information